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The density of mercury metal is 13.6 g/mL. What is the mass of 3.55 mL of the metal?
##color(purple)("The mercury metal has a mass of 48.3g."##
To calculate the mass of the object, we have to use the following formula: - will have units of ##g/(mL)## when dealing with a liquid or units of ##g/(cm^3)## when dealing with a solid.
-
The mass has units of grams, ##g##.
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The volume will have units of ##mL## or ##cm^3##
We are given the and volume, both of which have good units so all we have to do is rearrange the equation to solve for the mass:
##densityxxvolume=(mass)/(cancel"volume")xxcancel"volume"##
##color(coral)("Density")####xx####color(coral)("Volume = Mass")##
##(13.6g)/cancel"mL"xx3.55cancel"mL"##
Thus, the object has a mass of 48.3g.